On arrangement of subgroups in groups and related topics: some recent developments
Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works by P. Hall, R. Carter, J. Rose, and Z. Borevich. Numerous interesting results...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/804 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543437465059328 |
|---|---|
| author | Subbotin, I. Ya. |
| author_facet | Subbotin, I. Ya. |
| author_sort | Subbotin, I. Ya. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T08:49:22Z |
| description | Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works by P. Hall, R. Carter, J. Rose, and Z. Borevich. Numerous interesting results in this area have been obtained lately by many authors. The main goal of this survey is to reflect some important new developments in study of subgroup arrangement in infinite groups. |
| first_indexed | 2026-02-08T07:59:46Z |
| format | Article |
| id | admjournalluguniveduua-article-804 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:46Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8042018-04-04T08:49:22Z On arrangement of subgroups in groups and related topics: some recent developments Subbotin, I. Ya. arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups 20E15, 20E34, 20F19, 20F22 Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works by P. Hall, R. Carter, J. Rose, and Z. Borevich. Numerous interesting results in this area have been obtained lately by many authors. The main goal of this survey is to reflect some important new developments in study of subgroup arrangement in infinite groups. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/804 Algebra and Discrete Mathematics; Vol 8, No 4 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/804/334 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | arrangement of subgroups fan subgroups pronormal subgroups abnormal subgroups 20E15 20E34 20F19 20F22 Subbotin, I. Ya. On arrangement of subgroups in groups and related topics: some recent developments |
| title | On arrangement of subgroups in groups and related topics: some recent developments |
| title_full | On arrangement of subgroups in groups and related topics: some recent developments |
| title_fullStr | On arrangement of subgroups in groups and related topics: some recent developments |
| title_full_unstemmed | On arrangement of subgroups in groups and related topics: some recent developments |
| title_short | On arrangement of subgroups in groups and related topics: some recent developments |
| title_sort | on arrangement of subgroups in groups and related topics: some recent developments |
| topic | arrangement of subgroups fan subgroups pronormal subgroups abnormal subgroups 20E15 20E34 20F19 20F22 |
| topic_facet | arrangement of subgroups fan subgroups pronormal subgroups abnormal subgroups 20E15 20E34 20F19 20F22 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/804 |
| work_keys_str_mv | AT subbotiniya onarrangementofsubgroupsingroupsandrelatedtopicssomerecentdevelopments |